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Finding the Fourth Proportional to 145,914.80, 201,361.44 and 85,472.51

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Solution

The fourth proportional to 145,914.80, 201,361.44 and 85,472.51 is: 117,951.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,914.80 : 201,361.44 = 85,472.51 : x
  2. Step 2: Convert to fraction form
    145,914.80/201,361.44 = 85,472.51/x
  3. Step 3: Cross multiply
    145,914.80x = 201,361.44 × 85,472.51
  4. Step 4: Simplify right side
    145,914.80x = 17,210,866,687.21
  5. Step 5: Solve for x
    x = 17,210,866,687.21/145,914.80
  6. Step 6: Final answer
    x = 117,951.48

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.